Answer: 2343 / 256
Explanation
I will do this for you in two forms: 1) adding each term, and 2) using the general formula for the sum of geometric series.
1) Adding the terms:
4
∑ 3 (3/4)^i = 3 (3/4)^0 + 3 (3/4)^1 + 3 (3/4)^2 + 3 (3/4)^3 + 3 (3/4)^4
i=0
= 3 + 9/4 + 27/16 + 81/64 + 243/256 = [256*3 + 27*16 + 64*9 + 4*81 + 243] / 256 =
= 2343 / 256
2) Using the formula:
n-1
∑ A (r^i) = A [1 - r^(n) ] / [ 1 - r]
i=0
Here n - 1 = 4 => n = 5
r = 3/4
A = 3
Therefore the sum is 3 [ 1 - (3/4)^5 ] / [ 1 - (3/4) ] =
= 3 [ 1 - (3^5) / (4^5) ] / [ 1/4 ] = 3 { [ (4^5) - (3^5) ] / (4^5) } / {1/4} =
= (3 * 781) / (4^5) / (1/4) = 3 * 781 / (4^4) = 2343 / 256
So, no doubt, the answer is 2343 / 256
Answer:
girl im over here trying to find the same answer
Step-by-step explanation:
There are 342 inches, 28.5 feet, and 9.5 yards
Answer: 13,864,675 seconds
Step-by-step explanation:
I minute 15 seconds = 75 seconds
That means it takes 75 seconds to achieve 150 , and it takes x seconds to achieve 27,729,350. Interpreting this in proportion form , we have:
150 ------ 75 seconds
27,729,350 ------- x seconds
Then
150x = 27,729,350 X 75
150x = 2,079,701,250
x = 2,079,701,250 / 150
x = 13,864,675
That means it takes 13,864,675 seconds to achieve the goal , converting this to minutes, we have:
231,077.9 minutes
Answer:
The answer to your question is leg 2 = 0.9 in
Step-by-step explanation:
Data
Leg 1 = 4 in
hypotenuse = 4.1 in
Leg 2 = ?
Process
To solve this problem use the Pythagorean theorem, solve for leg 2 and simplify to get the result.
Pythagorean theorem
c² = a² + b²
or hypotenuse² = leg 1² + leg 2²
-Solve for leg 2²
leg 2² = hypotenuse² - leg 1²
-Substitution
leg 2² = 4.1² - 4²
-Simplification
leg 2² = 16.81 - 16
leg 2² = 0.81
leg 2 = 0.9 in